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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 270802.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270802.l1 | 270802l1 | \([1, -1, 1, 10858689, 4804578279]\) | \(5805798253576046271027/3769183309498679296\) | \(-91926611735363289350144\) | \([]\) | \(63124992\) | \(3.0952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270802.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270802.l do not have complex multiplication.Modular form 270802.2.a.l
sage: E.q_eigenform(10)