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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 304200.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.r1 | 304200r1 | \([0, 0, 0, 7047300, 186952616500]\) | \(74251994112/29007265625\) | \(-15121353324687187500000000\) | \([]\) | \(54190080\) | \(3.5106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304200.r do not have complex multiplication.Modular form 304200.2.a.r
sage: E.q_eigenform(10)