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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 145200.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.g1 | 145200er1 | \([0, -1, 0, 71592, -11228688]\) | \(43307231/82944\) | \(-77720518656000000\) | \([]\) | \(1612800\) | \(1.9256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.g do not have complex multiplication.Modular form 145200.2.a.g
sage: E.q_eigenform(10)