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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 97104e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.r1 | 97104e1 | \([0, -1, 0, -2346776, -1382999856]\) | \(-5885299474/189\) | \(-45902046531446784\) | \([]\) | \(1410048\) | \(2.2920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104e do not have complex multiplication.Modular form 97104.2.a.e
sage: E.q_eigenform(10)