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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 303450.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.g1 | 303450g1 | \([1, 1, 0, -15924050, -25070599500]\) | \(-1184052061112257/34349180544\) | \(-12954776804285274000000\) | \([]\) | \(26127360\) | \(3.0222\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.g do not have complex multiplication.Modular form 303450.2.a.g
sage: E.q_eigenform(10)